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Finding the Fourth Proportional to 327, 450.69 and 300.87

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Solution

The fourth proportional to 327, 450.69 and 300.87 is: 414.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    327 : 450.69 = 300.87 : x
  2. Step 2: Convert to fraction form
    327/450.69 = 300.87/x
  3. Step 3: Cross multiply
    327x = 450.69 × 300.87
  4. Step 4: Simplify right side
    327x = 135,599.10
  5. Step 5: Solve for x
    x = 135,599.10/327
  6. Step 6: Final answer
    x = 414.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.